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Finding the Fourth Proportional to 14,803.16, 20,430.32 and 9,426.14

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Solution

The fourth proportional to 14,803.16, 20,430.32 and 9,426.14 is: 13,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,803.16 : 20,430.32 = 9,426.14 : x
  2. Step 2: Convert to fraction form
    14,803.16/20,430.32 = 9,426.14/x
  3. Step 3: Cross multiply
    14,803.16x = 20,430.32 × 9,426.14
  4. Step 4: Simplify right side
    14,803.16x = 192,579,056.56
  5. Step 5: Solve for x
    x = 192,579,056.56/14,803.16
  6. Step 6: Final answer
    x = 13,009.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.